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Simplifying 4m + 9 = 6m + -3 Reorder the terms: 9 + 4m = 6m + -3 Reorder the terms: 9 + 4m = -3 + 6m Solving 9 + 4m = -3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 9 + 4m + -6m = -3 + 6m + -6m Combine like terms: 4m + -6m = -2m 9 + -2m = -3 + 6m + -6m Combine like terms: 6m + -6m = 0 9 + -2m = -3 + 0 9 + -2m = -3 Add '-9' to each side of the equation. 9 + -9 + -2m = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = -3 + -9 -2m = -3 + -9 Combine like terms: -3 + -9 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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